Brief Introduction
GCSE Mathematics is comprised of 6 strands; number, algebra, geometry and measures, statistics, ratio and rates of change, and probability. Our curriculum is designed to develop students’ problem solving skills from year 7 through to year 11 to meet the requirements of the new GCSE.
In Years 10 & 11, students predominantly in Set 1 will also work towards achieving a Level 2 Certificate in Further Mathematics. This course acts as a bridge between GCSE and ALevel mathematics, but is also particularly relevant for students wishing to study physics, engineering and computing (amongst other subjects) in further education.
Areas of Study
Autumn  Spring  Summer  
Year 7 Standard  Numbers and the number system
Calculating Calculating: division Visualising and constructing Investigating properties of shapes Algebraic proficiency: using formulae

Exploring fractions, decimals and percentages
Proportional reasoning Pattern sniffing Measuring space Investigating angles 
Calculating fractions, decimals, and percentages
Solving equations and inequalities Calculating space Checking approximating and estimating Mathematical movement Presentation of data Measuring data 
Year 8 Standard / Year 7 Higher  Numbers and the number system
Counting and comparing Calculating Visualising and constructing Investigating properties of shapes Algebraic proficiency: tinkering 
Exploring fractions, decimals and percentages
Proportional reasoning Pattern sniffing Measuring space Investigating angles Calculating fractions, decimals and percentages Solving equations and inequalities 
Calculating space
Checking approximating and estimating Mathematical movement Presentation of data Measuring data 
Year 9 Standard / Year 8 Higher

Number and the number system
Calculating Visualising and constructing Understanding risk 1 Algebraic proficiency: tinkering 
Exploring fractions, decimals and percentages
Proportional reasoning Pattern sniffing Investigating angles Calculating fractions, decimals and percentages Solving equations and inequalities 
Calculating space
Algebraic proficiency: visualising Understanding risk 2 Presentation of data Measuring data 
Year 9 Higher  Calculating
Visualising and constructing Algebraic proficiency: tinkering 
Pattern sniffing
Solving equations and inequalities 1 Calculating space Conjecturing 
Algebraic proficiency: visualising
Solving equations and inequalities 2 Understanding risk Presentation of data 
Year 10 Foundation  Number 1: Lowest Common Multiple (LCM), Highest Common Factor (HCF), product of prime factors
Algebra 1: algebraic expressions including substitution, expansion and factorisation Geometry and Measures 1: angles in parallel lines, bearing and polygons Data Handling 1: averages and range Number 2: decimals including estimation, upper and lower bounds Geometry and Measures 2: 2D shapes – area and perimeter including parts of a circle (arc, sector, segment) Algebra 2: solve equations including quadratics Number 3: Fractions 
Geometry and Measures 3: Transformation (including fraction scale factor), symmetry, similar shapes
Algebra 3: formulae including substitution, change of subject, distinguish equation / formula / expression / identity Number 4: percentages including use of multiplier, compound interest Data Handling 2: presenting data including pie chart, scatter diagram, frequency polygon, time series Geometry and Measures 4: volume and surface area of 3D shapes including sphere and pyramids Algebra 4: sequences including geometric, nth term of linear sequence Number 5: ratio and proportion (direct and inverse) Algebra 5: algebraic graphs – linear, quadratic, cubic and reciprocal 
Geometry and Measures 5: measures including compound, conversion of measure, graphs
Algebra 6: inequalities – notation, on a line, and solving Number 6: powers and roots including rules for indices and standard form Geometry and Measures 6: Pythagoras’ theorem and trigonometry Data Handling 3: probability Geometry and Measures 7: constructions, loci and congruence Algebra 7: solve simultaneous equations – algebraic and graphical methods Algebra 8: vector geometry 
Year 10 Higher  Number 1: multiples, factors, primes, laws of indices (including fraction and negative), standard form, surds
Algebra 1: expressions – substitution, expansion, factorising, algebraic fractions Geometry and Measures 1: angles in parallel lines, polygons, bearings, circle theorems Data Handling 1: statistics including data collection / sampling, averages and range including grouped data, scatter diagrams, time series Number 2: fractions and decimals including upper and lower bounds calculations Geometry and Measures 2: 2D shapes – area and perimeter including parts of a circle (arc, sector, segment) Algebra 2: linear equations and graphs including algebraic and graphical solutions of simultaneous equations Number 3: percentages including use of multiplier (exponential growth and decay), reverse percentages Geometry and Measures 3: Transformations including negative and fractional scale factor enlargement 
Algebra 3: formulae and sequences – substitution and transpose formulae, nth term of linear and quadratic sequences
Geometry and Measures 4: trigonometry 1 including Pythagoras and 3D shapes Data Handling 2: statistics 2 including cumulative frequency, box plots, and histograms Geometry and Measures 5: 3D shapes – surface area and volume of prisms, pyramids, spheres, and the frustum Algebra 4: algebraic graphs including quadratic, cubic, reciprocal, exponential Number 4: ratio and proportion including direct and inverse proportion, and graphs Geometry and Measures 6: Loci, construction and congruence Algebra 5: inequalities including graphical solutions

Data Handling 3: probability
Algebra 6: further factorising quadratics including completing the square, manipulate and simplify algebraic fractions Geometry and Measures 7: trigonometry 2 including sine and cosine rule, trigonometric graphs, area formulae Algebra 7: solve quadratic equations including factorising, completing the square, formula, equations with fractions Geometry and Measures 8: similar shapes including length, area and volume Algebra 8: simultaneous equations – linear / quadratic equations, equation of circle, equation of tangent Geometry and Measures 9: vectors in solve geometric problems Algebra 9: transformation of functions including trigonometric graphs

Year 10 set 1 additional topics for FM  Algebra
Solutions of linear equations Geometry – perimeter and area of rectangles, triangles and circles, volume of solids Algebraic and graphical solution of simultaneous equations in two unknowns (both linear or one linear and one quadratic) 
Matrices
Coordinates 
Index laws
Manipulation of surds 
Year 11 Foundation  Probability 1
Probability 2 Quadrilaterals and other polygons Coordinates and graphs Trial and improvement Measurement 2 Quadratic graphs Circles and cylinders 
Pythagoras’ Theorem
Constructions and loci Revision of topics identified in the mock 
Revision of topics identified in the mock 
Year 11 Middle  Nonlinear graphs
Constructions and loci Trigonometry Circle theorems 
Revision of topics identified in the mock  Revision of topics identified in the mock 
Year 11 Higher  Cumulative frequency
Probability Circles, cylinders, cones, and spheres Ratio and proportion Measures and dimensions Sequences and proof Constructions and loci 
Quadratic equations
Nonlinear graphs Circle theorems Pythagoras Theorem and trigonometry Further algebra 
Transformation of graphs
Vectors Further trigonometry 
Year 11 Set 1 additional topics for FM  Sequences  Algebra – completing the square, solution of quadratic equations
Geometry – understand and use circle theorems Pythagoras’ Theorem The coordinate geometry of circles 
Geometry – area of a triangle using ½absinC, sine and cosine rules in scalene triangles
Calculus – differentiation Geometry – ratio of angles and their graphs 
Assessment
Students will be assessed throughout all five academic years through the use of practise GCSE papers, end of unit assessments, fortnightly maths tracker tests, class work and homework.
Firefly/Extended Learning
Extended learning activities are set as according to the school policy, through the school’s virtual learning environment (VLE) Firefly. This way all tasks can be viewed by students and their parents/carers. We encourage daily use of Firefly with students regularly clearing completed tasks on the ‘Your Tasks’ section of their profile to maintain good organisation.
In addition to this Firefly also contains useful information and support material. Details about equipment, suitable calculators and assessment dates are kept up to date on the Mathematics pages. A range of practise examination papers, tutorial videos on different topics and a student moderated forum section are also available.
Exam Specifications
AQA GCSE Mathematics Specification
AQA GCSE Statistics Specification
AQA Level 2 Further Mathematics Specification
Online Resources
MyMaths – An online resource for all students to access for reference, practise and homework purposes. Students all have a personal login that enables them to keep a record of their progress across topics throughout their time at Trentham.
TTRockstars – TTRockstars (Times Table Rockstars) is an online system designed to support students in learning their times tables, vital for progress in a wide range of mathematic topics.
Mathswatch – A set of mathematics resources videos and worksheets.
Corbett Maths – Key Stage 4 online resource e.g. 5 a day GCSE 91, videos, worksheets etc
Justmaths
BBC Bitesize – Student resources for revising mathematics.
Apps
iMathematics – A tool for reference and practise purposes, particularly for number, algebra and geometry topics.
Minds of Modern Mathematics – An app that details practical applications and the historical developments made in the field of mathematics.
MyScript Calculator – A handwriting calculator particularly useful for developing understanding of the order of operations and mathematical syntax.
Calculator for iPad – A free calculator to make up for the absence of an existing one.
Geometry Pad – An app for creating interactive diagrams to assist in understanding a range of geometry topics.
Quick Graph – An app for plotting graphs from an equation.
Extra –curricular activities
 Year 11 mock examination preparation (end of Autumn term)
 Year 11 GCSE preparation (Summer term)
 Maths support – Maths teachers welcome students to come and seek support
 Chess club (weekly – see student briefing)